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Simplifying -5(5 + -4k) = 19 + -2k (5 * -5 + -4k * -5) = 19 + -2k (-25 + 20k) = 19 + -2k Solving -25 + 20k = 19 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -25 + 20k + 2k = 19 + -2k + 2k Combine like terms: 20k + 2k = 22k -25 + 22k = 19 + -2k + 2k Combine like terms: -2k + 2k = 0 -25 + 22k = 19 + 0 -25 + 22k = 19 Add '25' to each side of the equation. -25 + 25 + 22k = 19 + 25 Combine like terms: -25 + 25 = 0 0 + 22k = 19 + 25 22k = 19 + 25 Combine like terms: 19 + 25 = 44 22k = 44 Divide each side by '22'. k = 2 Simplifying k = 2
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